112216000 has 168 divisors, whose sum is σ = 304550064. Its totient is φ = 40934400.

The previous prime is 112215991. The next prime is 112216019. The reversal of 112216000 is 612211.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1351959 + ... + 1352041.

It is an arithmetic number, because the mean of its divisors is an integer number (1812798).

Almost surely, 2^112216000 is an apocalyptic number.

112216000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152275032).

112216000 is an abundant number, since it is smaller than the sum of its proper divisors (192334064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112216000 is an equidigital number, since it uses as much as digits as its factorization.

112216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 112216000 is about 10593.2053694809. The cubic root of 112216000 is about 482.3381292765.

Adding to 112216000 its reverse (612211), we get a palindrome (112828211).

The spelling of 112216000 in words is "one hundred twelve million, two hundred sixteen thousand".